Complex Whitham-deformations in problems with ``integrable instability''
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 87-121

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The focusing nonlinear Schrödinger equation with boundary conditions of “finite density” as $|x|\to\infty$ is considered. The complex theory of Whitham deformations is used for studying the asymptotics of its solution as $t\to\infty$. Bibliography: 25 titles.
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     author = {R. F. Bikbaev},
     title = {Complex {Whitham-deformations} in problems with ``integrable instability''},
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R. F. Bikbaev. Complex Whitham-deformations in problems with ``integrable instability''. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 87-121. http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a8/